2014/05/24 by Fulvio Forni, Rodolphe Sepulchre, Forni, Fulvio +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · #Advanced Control Systems Optimization #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Gene Regulatory Network Analysis #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1405.6298
openalex publication_date 2014/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper introduces and studies differentially positive systems, that is, systems whose linearization along an arbitrary trajectory is positive. A generalization of Perron Frobenius theory is developed in this differential framework to show that the property induces a (conal) order that strongly constrains the asymptotic behavior of solutions. The results illustrate that behaviors constrained by local order properties extend beyond the well-studied class of linear positive systems and monotone systems, which both require a constant cone field and a linear state space.